EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
b)
    • x
      2
       
c)
    • x
      2
       
      +
      1

      x
      2
       
d)
    • (
      x
      +
      y
      )
e)
    • x
      +
      1

      x
  • (i)
    {c,d}
  • (ii)
    {c,d,b}
  • (iii)
    {b,d}
  • (iv)
    {e,a,b}
  • (v)
    {a,b}
Question 2
2.
Which of the following are not polynomials?
a)
    • (
      12
      x
      +
      7
      y
      )

      (
      12
      x
      4
      y
      )
b)
    • x
      +
      1

      x
c)
    • 9
      x
      2
       
d)
    • (
      144
      x
      2
       
      +
      36
      x
      y
      28
      y
      2
       
      )
e)
    • (
      12
      x
      +
      7
      y
      )
  • (i)
    {a,b}
  • (ii)
    {d,b}
  • (iii)
    {c,a}
  • (iv)
    {e,c,a}
  • (v)
    {d,b,a}
Question 3
3.
Which of the following are not polynomials?
a)
    • √x
b)
    • 49
      x
      2
       
      +
      1

      49
      x
      2
       
c)
    • 49
      x
      2
       
d)
    • (
      10
      x
      5
      y
      )
e)
    • (
      x
      +
      8
      y
      )
  • (i)
    {d,b,a}
  • (ii)
    {d,b}
  • (iii)
    {e,c,a}
  • (iv)
    {c,a}
  • (v)
    {a,b}
Question 4
4.
Which of the following are not polynomials?
a)
    • 4
      x
      2
       
b)
    • (
      42
      x
      2
       
      +
      40
      x
      y
      18
      y
      2
       
      )
c)
    • (
      7
      x
      +
      9
      y
      )

      (
      6
      x
      2
      y
      )
d)
    • √x
e)
    • (
      6
      x
      2
      y
      )
  • (i)
    {b,d}
  • (ii)
    {a,c}
  • (iii)
    {b,d,c}
  • (iv)
    {e,a,c}
  • (v)
    {c,d}
Question 5
5.
    • The degree of the polynomial
    • (
      8
      a
      +
      5
      )
    • is
  • (i)
    0
  • (ii)
    1
  • (iii)
    2
  • (iv)
    (-2)
  • (v)
    4
Question 6
6.
    • The degree of the polynomial
    • (
      3
      x
      2
       
      4
      x
      2
      )
    • is
  • (i)
    5
  • (ii)
    1
  • (iii)
    3
  • (iv)
    0
  • (v)
    2
Question 7
7.
    • The degree of the polynomial
    • (
      2
      d
      4
       
      +
      8
      d
      2
       
      +
      9
      d
      )
    • is
  • (i)
    3
  • (ii)
    5
  • (iii)
    4
  • (iv)
    2
  • (v)
    6
Question 8
8.
    • The degree of the polynomial
    • (
      6
      t
      4
       
      5
      t
      3
       
      +
      2
      t
      2
       
      6
      t
      +
      3
      )
    • is
  • (i)
    4
  • (ii)
    5
  • (iii)
    2
  • (iv)
    6
  • (v)
    3
Question 9
9.
    • The constant term in polynomial
    • (
      8
      b
      1
      )
    • is
  • (i)
    0
  • (ii)
    -3
  • (iii)
    -2
  • (iv)
    2
  • (v)
    -1
Question 10
10.
    • The constant term in polynomial
    • (
      8
      r
      2
       
      +
      9
      r
      +
      3
      )
    • is
  • (i)
    1
  • (ii)
    6
  • (iii)
    3
  • (iv)
    2
  • (v)
    4
Question 11
11.
    • The coefficient of term
    • x
    • in polynomial
    • (
      6
      x
      3
       
      9
      x
      2
       
      6
      x
      5
      )
    • is
  • (i)
    -6
  • (ii)
    -5
  • (iii)
    -7
  • (iv)
    -9
  • (v)
    -3
Question 12
12.
    • The coefficient of term
    • h
      2
       
    • in polynomial
    • (
      5
      h
      4
       
      3
      h
      3
       
      +
      h
      2
       
      7
      h
      +
      8
      )
    • is
  • (i)
    0
  • (ii)
    4
  • (iii)
    1
  • (iv)
    -2
  • (v)
    2
Question 13
13.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    5
    b
    4
     
    9
    b
    3
     
    +
    5
    b
    2
     
    +
    7
    b
    8
    )
  • (ii)
    (
    7
    b
    3
     
    +
    b
    2
     
    +
    b
    )
  • (iii)
    8
    b
    2
     
  • (iv)
    (
    5
    b
    4
     
    +
    3
    b
    )
  • (v)
    (
    8
    b
    4
     
    +
    3
    b
    3
     
    +
    3
    b
    2
     
    4
    b
    4
    )
Question 14
14.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    7
    p
    4
     
    3
    p
    3
     
    7
    p
    2
     
    5
    p
    +
    4
    )
  • (ii)
    (
    p
    4
     
    +
    6
    p
    +
    4
    )
  • (iii)
    (
    8
    p
    )
  • (iv)
    (
    9
    p
    4
     
    4
    p
    3
     
    8
    p
    2
     
    +
    4
    p
    1
    )
  • (v)
    (
    2
    p
    3
     
    3
    p
    2
     
    )
Question 15
15.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    s
    4
     
    9
    s
    3
     
    3
    )
  • (ii)
    (
    8
    s
    4
     
    9
    s
    3
     
    6
    s
    2
     
    +
    2
    s
    9
    )
  • (iii)
    (
    9
    s
    4
     
    6
    s
    3
     
    2
    s
    2
     
    +
    6
    s
    4
    )
  • (iv)
    (
    7
    s
    3
     
    2
    s
    2
     
    )
  • (v)
    3
    s
    4
     
Question 16
16.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    9
    i
    3
     
  • (ii)
    (
    i
    4
     
    2
    i
    3
     
    5
    i
    2
     
    )
  • (iii)
    (
    7
    i
    4
     
    i
    3
     
    5
    i
    2
     
    6
    i
    3
    )
  • (iv)
    2
  • (v)
    (
    9
    i
    4
     
    i
    3
     
    )
Question 17
17.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    9
    k
    3
     
    +
    8
    k
    )
  • (ii)
    4
    k
    3
     
  • (iii)
    0
  • (iv)
    (
    2
    k
    4
     
    8
    k
    3
     
    +
    7
    k
    2
     
    +
    4
    k
    +
    5
    )
  • (v)
    (
    5
    k
    3
     
    +
    4
    k
    5
    )
Question 18
18.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    9
    g
    3
     
    2
    g
    2
     
    7
    g
    +
    1
    )
  • (ii)
    4
  • (iii)
    (
    6
    g
    4
     
    6
    g
    3
     
    5
    g
    2
     
    +
    7
    g
    +
    5
    )
  • (iv)
    (
    9
    g
    2
     
    4
    g
    7
    )
  • (v)
    (
    2
    g
    +
    4
    )
Question 19
19.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    3
    k
    3
     
    +
    4
    k
    2
     
    2
    k
    +
    7
    )
  • (ii)
    (
    4
    k
    +
    3
    )
  • (iii)
    (
    7
    k
    5
     
    7
    k
    4
     
    9
    k
    2
     
    +
    5
    k
    1
    )
  • (iv)
    4
  • (v)
    (
    4
    k
    2
     
    4
    k
    3
    )
Question 20
20.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    7
    f
    2
     
    9
    f
    1
    )
  • (ii)
    (
    7
    f
    +
    3
    )
  • (iii)
    (
    2
    f
    5
     
    3
    f
    4
     
    3
    f
    3
     
    5
    f
    6
    )
  • (iv)
    (
    9
    )
  • (v)
    (
    8
    f
    3
     
    2
    f
    2
     
    +
    9
    f
    +
    2
    )
Question 21
21.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    4
    y
    +
    3
    )
  • (ii)
    (
    3
    y
    5
     
    +
    8
    y
    4
     
    +
    7
    y
    3
     
    +
    3
    y
    2
     
    6
    )
  • (iii)
    (
    7
    y
    2
     
    9
    y
    6
    )
  • (iv)
    (
    2
    )
  • (v)
    (
    2
    y
    3
     
    +
    9
    y
    2
     
    2
    y
    +
    9
    )
Question 22
22.
    • The degree of polynomial
    • (
      6
      m
      n
      +
      5
      m
      +
      4
      n
      3
      )
    • is
  • (i)
    2
  • (ii)
    1
  • (iii)
    3
  • (iv)
    5
  • (v)
    0
Question 23
23.
    • The degree of polynomial
    • (
      8
      g
      2
       
      h
      2
       
      6
      g
      2
       
      h
      +
      6
      )
    • is
  • (i)
    1
  • (ii)
    5
  • (iii)
    3
  • (iv)
    6
  • (v)
    4
Question 24
24.
    • The degree of polynomial
    • (
      8
      d
      2
       
      f
      7
      d
      2
       
      8
      d
      f
      2
       
      +
      7
      e
      2
       
      f
      9
      e
      f
      2
       
      )
    • is
  • (i)
    3
  • (ii)
    1
  • (iii)
    5
  • (iv)
    2
  • (v)
    4
Question 25
25.
    • The degree of polynomial
    • (
      8
      g
      3
       
      h
      +
      5
      g
      2
       
      h
      3
       
      i
      3
       
      7
      g
      2
       
      h
      i
      +
      6
      g
      2
       
      h
      7
      g
      h
      3
       
      i
      3
       
      +
      4
      g
      h
      i
      2
       
      +
      h
      i
      3
       
      )
    • is
  • (i)
    11
  • (ii)
    5
  • (iii)
    7
  • (iv)
    8
  • (v)
    9
Question 26
26.
    • The coefficient of term
    • t
    • in polynomial
    • (
      t
      u
      9
      t
      5
      u
      +
      2
      )
    • is
  • (i)
    -10
  • (ii)
    -8
  • (iii)
    -9
  • (iv)
    -6
  • (v)
    -11
Question 27
27.
    • The coefficient of term
    • p
      q
      2
       
    • in polynomial
    • (
      8
      p
      2
       
      q
      2
       
      5
      p
      q
      2
       
      +
      2
      p
      +
      q
      2
       
      )
    • is
  • (i)
    -5
  • (ii)
    -4
  • (iii)
    -7
  • (iv)
    -6
  • (v)
    -3
Question 28
28.
    • The coefficient of term
    • n
      o
      2
       
      p
    • in polynomial
    • (
      5
      n
      2
       
      p
      9
      n
      o
      2
       
      p
      2
       
      +
      n
      o
      2
       
      p
      8
      n
      p
      2
       
      9
      o
      2
       
      p
      )
    • is
  • (i)
    -1
  • (ii)
    2
  • (iii)
    4
  • (iv)
    0
  • (v)
    1
Question 29
29.
    • The coefficient of term
    • w
      3
       
      x
      y
    • in polynomial
    • (
      7
      w
      3
       
      x
      y
      6
      w
      2
       
      x
      2
       
      +
      4
      w
      2
       
      y
      2
       
      3
      w
      x
      3
       
      5
      w
      x
      2
       
      y
      3
       
      2
      w
      x
      2
       
      +
      4
      y
      2
       
      )
    • is
  • (i)
    -4
  • (ii)
    -7
  • (iii)
    -10
  • (iv)
    -8
  • (v)
    -6
Question 30
30.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    h
    2
     
    j
    +
    6
    h
    i
    3
     
    j
    2
     
    +
    8
    h
    i
    j
    2
     
    +
    5
    h
    j
    3
     
    )
  • (ii)
    (
    h
    j
    2
     
    +
    2
    i
    3
     
    )
  • (iii)
    (
    4
    h
    3
     
    i
    3
     
    j
    2
     
    2
    h
    3
     
    i
    3
     
    j
    +
    5
    h
    3
     
    i
    j
    2
     
    +
    2
    i
    2
     
    j
    2
     
    )
  • (iv)
    (
    6
    h
    2
     
    i
    j
    3
     
    )
  • (v)
    (
    7
    h
    3
     
    j
    2
     
    6
    h
    2
     
    i
    2
     
    j
    2
     
    +
    6
    h
    j
    )
Question 31
31.
Which of the following algebraic expressions is a binomial?
  • (i)
    q
    r
    s
    2
     
  • (ii)
    (
    8
    q
    3
     
    r
    3
     
    s
    3
     
    3
    q
    r
    2
    r
    )
  • (iii)
    (
    7
    q
    2
     
    r
    8
    q
    r
    s
    3
     
    7
    r
    3
     
    s
    2
     
    +
    3
    r
    s
    3
     
    )
  • (iv)
    (
    2
    q
    3
     
    r
    s
    2
     
    8
    q
    2
     
    r
    3
     
    +
    2
    q
    s
    2
     
    +
    2
    r
    2
     
    )
  • (v)
    (
    q
    3
     
    r
    3
     
    +
    3
    q
    )
Question 32
32.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    3
    o
    2
     
    p
    3
     
    q
    o
    2
     
    p
    3
     
    )
  • (ii)
    (
    6
    o
    3
     
    p
    3
     
    q
    2
     
    )
  • (iii)
    (
    8
    o
    3
     
    p
    q
    2
     
    o
    3
     
    p
    +
    4
    o
    2
     
    p
    3
     
    q
    2
     
    7
    o
    2
     
    p
    2
     
    q
    3
     
    )
  • (iv)
    (
    7
    o
    3
     
    p
    2
     
    q
    2
     
    +
    8
    p
    +
    6
    q
    3
     
    )
  • (v)
    (
    o
    3
     
    p
    3
     
    q
    2
     
    3
    o
    3
     
    p
    2
     
    q
    3
     
    3
    o
    2
     
    q
    3
     
    +
    p
    )
Question 33
33.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    2
    b
    2
     
    c
    2
     
    d
    +
    6
    b
    c
    2
     
    d
    3
     
    )
  • (ii)
    (
    3
    b
    2
     
    c
    2
     
    d
    )
  • (iii)
    (
    7
    b
    2
     
    2
    b
    c
    d
    3
     
    3
    b
    d
    )
  • (iv)
    (
    2
    )
  • (v)
    (
    5
    b
    3
     
    d
    2
     
    7
    b
    2
     
    d
    5
    b
    c
    2
     
    d
    3
     
    +
    7
    b
    c
    2
     
    d
    2
     
    )
Question 34
34.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    9
    x
    2
     
    z
    3
     
    5
    x
    z
    2
     
    9
    )
  • (ii)
    (
    4
    x
    2
     
    y
    z
    )
  • (iii)
    (
    7
    x
    2
     
    z
    3
     
    2
    x
    y
    3
     
    +
    4
    y
    3
     
    z
    +
    9
    y
    2
     
    )
  • (iv)
    (
    x
    3
     
    y
    3
     
    z
    3
     
    +
    9
    x
    y
    3
     
    )
  • (v)
    0
    Assignment Key

  •  1) (iii)
  •  2) (i)
  •  3) (v)
  •  4) (v)
  •  5) (ii)
  •  6) (v)
  •  7) (iii)
  •  8) (i)
  •  9) (v)
  •  10) (iii)
  •  11) (i)
  •  12) (iii)
  •  13) (iii)
  •  14) (v)
  •  15) (i)
  •  16) (iv)
  •  17) (iii)
  •  18) (ii)
  •  19) (ii)
  •  20) (i)
  •  21) (v)
  •  22) (i)
  •  23) (v)
  •  24) (i)
  •  25) (iv)
  •  26) (iii)
  •  27) (i)
  •  28) (v)
  •  29) (ii)
  •  30) (iv)
  •  31) (v)
  •  32) (iv)
  •  33) (iv)
  •  34) (v)